Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880n |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-368582400 = -1 · 28 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[17:88:1] |
Generators of the group modulo torsion |
j |
3286064/1975 |
j-invariant |
L |
5.0249418399478 |
L(r)(E,1)/r! |
Ω |
0.9879795891163 |
Real period |
R |
2.5430392971897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28440k1 6320d1 |
Quadratic twists by: -4 -3 |